Greatest Common Factor of 7325/86, 8550/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7325/86, 8550/737

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7325/86,8550/737

Given fractions are 7325/86,8550/737

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7325,8550

Greatest Common Factor of Numerators i.e. GCF of 7325,8550 is 25 .

LCM of Denominators means LCM of 86,737 as per the given fractions.

LCM of 86,737 is 63382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7325,8550

GCF of Fractions 7325/86,8550/737 is 25/63382

5 7325, 8550
5 1465, 1710
293, 342

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 7325,8550 By Matching Biggest Common Factor Method

Greatest Common Factor of 7325,8550 By Matching Biggest Common Factor Method

Factors of 7325

List of positive integer factors of 7325 that divides 7325 without a remainder.

1,5,25,293,1465,7325

Factors of 8550

List of positive integer factors of 8550 that divides 8550 without a remainder.

1,2,3,5,6,9,10,15,18,19,25,30,38,45,50,57,75,90,95,114,150,171,190,225,285,342,450,475,570,855,950,1425,1710,2850,4275,8550

Greatest Common Factor

We found the factors 7325,8550 . The biggest common factor number is the GCF number.
So the greatest common factor 7325,8550 is 25.

Lets's calculate LCM of 86,737

Given numbers has no common factors except 1. So, there LCM is their product i.e 63382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/63382

Therefore, the GCF of Fractions 7325/86,8550/737 is 25/63382

Least Common Multiple of 86,737 with GCF Formula

Least Common Multiple of 86,737 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 86,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,737) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(86,737) x common factors =1 x 1 = 1

LCM(86,737) = ( 86 × 737 ) / 1

LCM(86,737) = 63382 / 1

LCM(86,737) = 63382


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7325/86, 8550/737

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7325/86, 8550/737?

Answer: GCF of Numerators as per given numbers 7325/86, 8550/737 is

GCF of Numerators i.e. for 7325,8550 is 25

LCM of denominators i.e. for 86,737 is 63382.

Thus, GCF of Fractions is 25/63382.Finally, GCF of Fractions for 7325/86, 8550/737 is 25/63382.